Local ergodic theorems in symmetric spaces of measurable operators

Published 7 May 2018 in math.FA | (1805.02614v1)

Abstract: Local mean and individual (with respect to almost uniform convergence in Egorov's sense) ergodic theorems are established for actions of the semigroup $\mathbb R_+^d$ in symmetric spaces of measurable operators associated with a semifinite von Neumann algebra.

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